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CaHeK987 [17]
3 years ago
8

It costs $68 for 16 square feet of flooring. How much does it cost for 12 square feet of flooring?

Mathematics
1 answer:
belka [17]3 years ago
5 0
We know that it costs $68 for 16 square feet of flooring. To find out how much it costs for 12, we first have to find out how much it costs for 1 square foot.
To find that, we would do $68 divided by 16, which is 4.25.
That means 1 square foot costs $4.25.
Then, we would multiply $4.25 by 12 to find how much 12 square feet costs.
$4.25 times 12 is 51.

So, it would cost $51 to have 12 square feet of flooring.
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A company that teaches self-improvement seminars is holding one of its seminars in Middletown. The company pays a flat fee of $1
Nutka1998 [239]

Answers:

To reach the breakeven point, how many attendees will that take?  <u>   117   </u>

What will be the company's total expenses and revenues?  <u>    $1755  for each   </u>

=============================================================

Explanation:

x = number of attendees

C(x) = cost function for the company

C(x) = 14x+117

This is because the company pays $14 per person, so x of them accounts for 14x dollars. Then we add on the flat fee of $117 to get 14x+117 dollars overall.

In contrast, the revenue is

R(x) = 15x

because each attendee brings in $15 for the company

The breakeven point is when the cost and revenue are the same. This produces a profit of $0.

R(x) = C(x)

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x = 117

If 117 people attend the seminar, then the company breaks even.

To check this, we'll compute the cost and revenue

C(x) = 14x+117

C(117) = 14*117+117

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R(x) = 15x

R(117) = 15*117

R(117) =  1755

The cost and revenue is $1755 for each. Because we get the same value, this confirms the correct x value.

Since 117 people is the breakeven point, the company should aim for an attendee count above this, so they can get a positive profit. At some point, there is a max capacity so x can't go up forever.

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